Academic Journal

Global regularity and blowup for a class of non-Newtonian polytropic variation-inequality problem from investment-consumption problems

التفاصيل البيبلوغرافية
العنوان: Global regularity and blowup for a class of non-Newtonian polytropic variation-inequality problem from investment-consumption problems
المؤلفون: Zhi Guang Li
المصدر: AIMS Mathematics, Vol 8, Iss 8, Pp 18174-18184 (2023)
بيانات النشر: AIMS Press, 2023.
سنة النشر: 2023
المجموعة: LCC:Mathematics
مصطلحات موضوعية: variation-inequality problems, fourth order non-newtonian polytropic operator, regularity, blow up, Mathematics, QA1-939
الوصف: This paper studies variation-inequality problems with fourth order non-Newtonian polytropic operators. First, the test function of the weak solution is constructed by using the difference operator. Then global regularity of the weak solution is obtained by some difference transformation and inequality amplification techniques. The weak solution is transformed into a differential inequality of the energy function. It is proved that the weak solution will blow up in finite time. Then, the upper bound and the blowup rate estimate of the blow up are given by handling some differential inequalities.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2473-6988
Relation: https://doaj.org/toc/2473-6988
DOI: 10.3934/math.2023923?viewType=HTML
DOI: 10.3934/math.2023923
URL الوصول: https://doaj.org/article/420e82d41aff4d5384f12a7d6793bc89
رقم الانضمام: edsdoj.420e82d41aff4d5384f12a7d6793bc89
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:24736988
DOI:10.3934/math.2023923?viewType=HTML